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The revenue for a company producing widgets is given by y = -20x2 - 50x + 200, where x is the price in dollars for each widget. The cost for the production is given by y = 30x - 10. Determine the price that will allow the production of widget to break even.

Answer :

okpalawalter8

Answer:

The  price is   x =  $2.779

Step-by-step explanation:

From the question we are told that

  The  revenue is  [tex]y = - 20x^2 - 50 x + 200[/tex]

   The cost of production is  [tex]y = 30 x - 10[/tex]

Generally at break even point the cost of production is equal to the  revenue

So

      [tex]-20x^2 -50x + 200 = 30x-10[/tex]

=>   [tex]20x^2 +20 -210 = 0[/tex]

Using the quadratic formula to solve this equation we have that

       x =  $2.779

     

Answer:

1.81 per widget

Step-by-step explanation:

If you put in the equations in Desmos, you can see where is breaks even

${teks-lihat-gambar} isgom0605

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